A367711 - cp's OEIS frontend

A367711 a(1) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has a common factor k > 1 with A001414(a(n-1)), the sum of the primes dividing a(n-1), with repetition.

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	8
11	12
12	21
13	15
14	16
15	18
16	20
17	24
18	27
19	30
20	22
21	13
22	26
23	25
24	28
25	11
26	33
27	32
28	34
29	19
30	38
31	35
32	36
33	40
34	44
35	39
36	42
37	45
38	55
39	46
40	50
41	48
42	66
43	52
44	17
45	51
46	54
47	77
48	56
49	65
50	57
51	58
52	31
53	62
54	60
55	63
56	78
57	64
58	68
59	49
60	70
61	72
62	69
63	74
64	75
65	91
66	76
67	23
68	92
69	81
70	80
71	104
72	95
73	82
74	43
75	86

[2, 4, 6, 5, 10, 7, 14, 3, 9, 8, 12, 21, 15, 16, 18, 20, 24, 27, 30, 22, 13, 26, 25, 28, 11, 33, 32, 34, 19, 38, 35, 36, 40, 44, 39, 42, 45, 55, 46, 50, 48, 66, 52, 17, 51, 54, 77, 56, 65, 57, 58, 31, 62, 60, 63, 78, 64, 68, 49, 70, 72, 69, 74, 75, 91, 76, 23, 92, 81, 80, 104, 95, 82, 43, 86]

cp's OEIS Frontend

A367711 a(1) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has a common factor k > 1 with A001414(a(n-1)), the sum of the primes dividing a(n-1), with repetition.

Table of values

List of values

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	8
11	12
12	21
13	15
14	16
15	18
16	20
17	24
18	27
19	30
20	22
21	13
22	26
23	25
24	28
25	11
26	33
27	32
28	34
29	19
30	38
31	35
32	36
33	40
34	44
35	39
36	42
37	45
38	55
39	46
40	50
41	48
42	66
43	52
44	17
45	51
46	54
47	77
48	56
49	65
50	57
51	58
52	31
53	62
54	60
55	63
56	78
57	64
58	68
59	49
60	70
61	72
62	69
63	74
64	75
65	91
66	76
67	23
68	92
69	81
70	80
71	104
72	95
73	82
74	43
75	86

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	8
11	12
12	21
13	15
14	16
15	18
16	20
17	24
18	27
19	30
20	22
21	13
22	26
23	25
24	28
25	11
26	33
27	32
28	34
29	19
30	38
31	35
32	36
33	40
34	44
35	39
36	42
37	45
38	55
39	46
40	50
41	48
42	66
43	52
44	17
45	51
46	54
47	77
48	56
49	65
50	57
51	58
52	31
53	62
54	60
55	63
56	78
57	64
58	68
59	49
60	70
61	72
62	69
63	74
64	75
65	91
66	76
67	23
68	92
69	81
70	80
71	104
72	95
73	82
74	43
75	86

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	8
11	12
12	21
13	15
14	16
15	18
16	20
17	24
18	27
19	30
20	22
21	13
22	26
23	25
24	28
25	11
26	33
27	32
28	34
29	19
30	38
31	35
32	36
33	40
34	44
35	39
36	42
37	45
38	55
39	46
40	50
41	48
42	66
43	52
44	17
45	51
46	54
47	77
48	56
49	65
50	57
51	58
52	31
53	62
54	60
55	63
56	78
57	64
58	68
59	49
60	70
61	72
62	69
63	74
64	75
65	91
66	76
67	23
68	92
69	81
70	80
71	104
72	95
73	82
74	43
75	86